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1243089216 = 263216712923
BaseRepresentation
bin100101000011000…
…0000100101000000
310012122002110211100
41022012000211000
510021212323331
6323203414400
742543040545
oct11206004500
93178073740
101243089216
11588767366
122a8384400
1316a700165
14bb148bcc
15741ecae6
hex4a180940

1243089216 has 84 divisors (see below), whose sum is σ = 3584704032. Its totient is φ = 411849984.

The previous prime is 1243089167. The next prime is 1243089217. The reversal of 1243089216 is 6129803421.

1243089216 is a `hidden beast` number, since 1 + 2 + 430 + 8 + 9 + 216 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1243089217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89731 + ... + 102653.

It is an arithmetic number, because the mean of its divisors is an integer number (42675048).

Almost surely, 21243089216 is an apocalyptic number.

1243089216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1243089216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792352016).

1243089216 is an abundant number, since it is smaller than the sum of its proper divisors (2341614816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1243089216 is a wasteful number, since it uses less digits than its factorization.

1243089216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13108 (or 13095 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1243089216 is about 35257.4703573583. The cubic root of 1243089216 is about 1075.2284975971.

The spelling of 1243089216 in words is "one billion, two hundred forty-three million, eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 167 192 288 334 501 576 668 1002 1336 1503 2004 2672 3006 4008 5344 6012 8016 10688 12024 12923 16032 24048 25846 32064 38769 48096 51692 77538 96192 103384 116307 155076 206768 232614 310152 413536 465228 620304 827072 930456 1240608 1860912 2158141 2481216 3721824 4316282 6474423 7443648 8632564 12948846 17265128 19423269 25897692 34530256 38846538 51795384 69060512 77693076 103590768 138121024 155386152 207181536 310772304 414363072 621544608 1243089216